Abstract: This paper is concernede with the stockpile stratagem of commodities with deterioration for a class of store systems. By means of establishing a inventory model, the optimal stockpile stratagem is obtained for this store systems. This result is an extension for classical PLS model. Under the assumption that the articles possess accelerating deterioraling properties, the demanding rate is known, this paper get the best stockpile stratagems on the condition that the system don't pemit to runout of stock, or the system permit to runout of stock but don't postpone the time.